What is the Least Common Multiple of 5405 and 5423?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 5405 and 5423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5405 and 5423, than apply into the LCM equation.

GCF(5405,5423) = 1
LCM(5405,5423) = ( 5405 × 5423) / 1
LCM(5405,5423) = 29311315 / 1
LCM(5405,5423) = 29311315

Least Common Multiple (LCM) of 5405 and 5423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5405 and 5423. First we will calculate the prime factors of 5405 and 5423.

Prime Factorization of 5405

Prime Factorization of 5423

Now multiplying the highest exponent prime factors to calculate the LCM of 5405 and 5423.

LCM(5405,5423) = 5¹ × 23¹ × 47¹ × 11¹ × 17¹ × 29¹
LCM(5405,5423) = 29311315